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Finding the Third Proportional to 70,582 and 150,734

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Solution

The third proportional to 70,582 and 150,734 is: 321,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582 : 150,734 = 150,734 : x
  2. Step 2: Convert to fraction form
    70,582/150,734 = 150,734/x
  3. Step 3: Cross multiply
    70,582x = 150,734 × 150,734
  4. Step 4: Simplify right side
    70,582x = 22,720,738,756
  5. Step 5: Solve for x
    x = 22,720,738,756/70,582
  6. Step 6: Final answer
    x = 321,905.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.